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Finding the Fourth Proportional to 30,901.34, 42,645.41 and 17,290.91

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Solution

The fourth proportional to 30,901.34, 42,645.41 and 17,290.91 is: 23,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.34 : 42,645.41 = 17,290.91 : x
  2. Step 2: Convert to fraction form
    30,901.34/42,645.41 = 17,290.91/x
  3. Step 3: Cross multiply
    30,901.34x = 42,645.41 × 17,290.91
  4. Step 4: Simplify right side
    30,901.34x = 737,377,646.54
  5. Step 5: Solve for x
    x = 737,377,646.54/30,901.34
  6. Step 6: Final answer
    x = 23,862.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.